COSC 2425 Final Exam questions with
100% correct answers
67 (base 10)= __________________(base 3) - correct answer ✔✔2111
728 (base 9)= __________________(base 10) - correct answer ✔✔593
1101101 (base 2) = ____________ (base 10) - correct answer ✔✔109
01AF (base 16) = ____________ (base 10) - correct answer ✔✔431
Convert 0.2578125 to binary with 8 bits to the right of the binary point. - correct answer ✔✔0.01000010
Convert 0B2C (base 16) to binary. - correct answer ✔✔1011 0010 1100
Convert -47 (base 10) to binary 8-bit signed-magnitude. - correct answer ✔✔10101111
Assuming we are using the Hamming algorithm presented in your text and even parity to design an
error-correcting code, find the code word to represent the 8-bit information word 01001000. - correct
answer ✔✔000110011000
Using the CRC polynomial 1001, create the CRC code word for the information word 01010101. - correct
answer ✔✔01010101110
The binary string 01000110001000 is a floating point number expressed using the 14-bit simple model
given in your text. (There are no implied bits.) What is its decimal equivalent? - correct answer ✔✔2.125
The binary string 01001010001100 is a floating point number expressed using the 14-bit simple model
given in your text. (There are no implied bits.) What is its decimal equivalent? - correct answer ✔✔4.375
,Given the following two binary numbers: 11111100 and 01110000 Which of these two numbers is the
larger unsigned binary number? - correct answer ✔✔11111100
Given the following two binary numbers: 11111100 and 01110000 Which of these two is the larger when
it is being interpreted on a computer using signed-two's complement representation? - correct answer
✔✔01110000
Given the following two binary numbers: 11111100 and 01110000 Which of these two is the smaller
when it is being interpreted on a computer using signed-magnitude representation? - correct answer
✔✔11111100
What decimal value does the 8-bit binary number 10110100 have if: it is interpreted as an unsigned
number? - correct answer ✔✔180
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using signed-
magnitude representation? - correct answer ✔✔-52
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using one's
complement representation? - correct answer ✔✔-75
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using two's
complement representation? - correct answer ✔✔-76
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using excess-127
representation? - correct answer ✔✔53
Add the following unsigned binary number as shown.01000100 + 10111011---------------- - correct answer
✔✔11111111
Subtract the following signed binary numbers as shown using 2's complement arithmetic. 11000100-
00111011------------------- - correct answer ✔✔10001001
, Perform the following binary multiplication, assuming unsigned integers:1011X 101------- - correct
answer ✔✔00110111
Perform the following binary divisions, assuming unsigned integers:11111101/1011 - correct answer
✔✔11010
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is 12.5 - correct answer ✔✔0
10000000010 1001000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is -1. 5 - correct answer ✔✔1
01111111111 1000000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is .75 - correct answer ✔✔0
01111111110 1000000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is 26.265 - correct answer ✔✔0
10000000011 1010101...0
The ASCII code for the letter A is 1000001, and the ASCII code for the letter a is 1100001. Given that the
ASCII code for the letter G is 1000111, without looking at Table 2.7, what isthe ASCII code for the letter
g? - correct answer ✔✔1100111
The Boolean AND operation is also known as - correct answer ✔✔Boolean product
Which of the following equations correctly reflects the truth table shown below? - correct answer
✔✔x'yz' + x'yz + xy'z' + xyz' + xyz
The truth table shown below is supposed to reflect the function F(x, y, z) = y(x + z') but two lines are in
error. Identify them. - correct answer ✔✔3 and 4
100% correct answers
67 (base 10)= __________________(base 3) - correct answer ✔✔2111
728 (base 9)= __________________(base 10) - correct answer ✔✔593
1101101 (base 2) = ____________ (base 10) - correct answer ✔✔109
01AF (base 16) = ____________ (base 10) - correct answer ✔✔431
Convert 0.2578125 to binary with 8 bits to the right of the binary point. - correct answer ✔✔0.01000010
Convert 0B2C (base 16) to binary. - correct answer ✔✔1011 0010 1100
Convert -47 (base 10) to binary 8-bit signed-magnitude. - correct answer ✔✔10101111
Assuming we are using the Hamming algorithm presented in your text and even parity to design an
error-correcting code, find the code word to represent the 8-bit information word 01001000. - correct
answer ✔✔000110011000
Using the CRC polynomial 1001, create the CRC code word for the information word 01010101. - correct
answer ✔✔01010101110
The binary string 01000110001000 is a floating point number expressed using the 14-bit simple model
given in your text. (There are no implied bits.) What is its decimal equivalent? - correct answer ✔✔2.125
The binary string 01001010001100 is a floating point number expressed using the 14-bit simple model
given in your text. (There are no implied bits.) What is its decimal equivalent? - correct answer ✔✔4.375
,Given the following two binary numbers: 11111100 and 01110000 Which of these two numbers is the
larger unsigned binary number? - correct answer ✔✔11111100
Given the following two binary numbers: 11111100 and 01110000 Which of these two is the larger when
it is being interpreted on a computer using signed-two's complement representation? - correct answer
✔✔01110000
Given the following two binary numbers: 11111100 and 01110000 Which of these two is the smaller
when it is being interpreted on a computer using signed-magnitude representation? - correct answer
✔✔11111100
What decimal value does the 8-bit binary number 10110100 have if: it is interpreted as an unsigned
number? - correct answer ✔✔180
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using signed-
magnitude representation? - correct answer ✔✔-52
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using one's
complement representation? - correct answer ✔✔-75
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using two's
complement representation? - correct answer ✔✔-76
What decimal value does the 8-bit binary number 10110100 have if: it is on a computer using excess-127
representation? - correct answer ✔✔53
Add the following unsigned binary number as shown.01000100 + 10111011---------------- - correct answer
✔✔11111111
Subtract the following signed binary numbers as shown using 2's complement arithmetic. 11000100-
00111011------------------- - correct answer ✔✔10001001
, Perform the following binary multiplication, assuming unsigned integers:1011X 101------- - correct
answer ✔✔00110111
Perform the following binary divisions, assuming unsigned integers:11111101/1011 - correct answer
✔✔11010
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is 12.5 - correct answer ✔✔0
10000000010 1001000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is -1. 5 - correct answer ✔✔1
01111111111 1000000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is .75 - correct answer ✔✔0
01111111110 1000000...0
Show how the following floating point values would be stored using IEEE-754 double precision (be sure
to indicate the sign bit, the exponent, and the significand fields): it is 26.265 - correct answer ✔✔0
10000000011 1010101...0
The ASCII code for the letter A is 1000001, and the ASCII code for the letter a is 1100001. Given that the
ASCII code for the letter G is 1000111, without looking at Table 2.7, what isthe ASCII code for the letter
g? - correct answer ✔✔1100111
The Boolean AND operation is also known as - correct answer ✔✔Boolean product
Which of the following equations correctly reflects the truth table shown below? - correct answer
✔✔x'yz' + x'yz + xy'z' + xyz' + xyz
The truth table shown below is supposed to reflect the function F(x, y, z) = y(x + z') but two lines are in
error. Identify them. - correct answer ✔✔3 and 4
